Which inequality models this situation? 3 The company president sets a goal that the percentage of working phones must increase from 30% to at least 80% by the end of the day. 3 8 -> 103 8. 3+% 10+ DONE () Intro​

Answer:

x  =  76    y  =  112     z (max)  =  2104 $

Step-by-step explanation:

                               legs    rockers    short dowels     long dowels  Profit $

Model His (x)           4           2                   4                          8                10

Model Her (y)           4          2                    8                          4                12

Availability             900      400              1200                    1056

From the table above we find z

Objective Function z :

z  =  10*x  +  12*y    to maximize

Subject to

Constraint  1  quantity of legs available: 900

4*x +4*y ≤ 900

Constraint  2  quantity of rockers available:  400

2*x +  2*y  ≤ 400

Constraint  3  quantity of short dowels available: 1200

4*x  8*y  ≤  1200

Constraint  4  quantity of long dowels available: 1056

8*x  +  4*y  ≤ 1056

Constraint 5 condition between  x  and y

x  ≥  0.5*y

The model:

z  =  10*x  +  12*y    to maximize

Subject to:

4*x +4*y ≤ 900

2*x +  2*y  ≤ 400

4*x  8*y  ≤  1200

8*x  +  4*y  ≤ 1056

x  ≥  0.5*y        or    x  - 0.5*y ≥ 0

General constraints:

x  ≥ 0   y  ≥ 0  both integers

After 6 iterations with AtomZmath on-line solver optimal solution is:

x  =  76    y  =  112     z (max)  =  2104 $

Câu trả lời:

0,0584

Giải thích từng bước:

Câu hỏi đưa ra đáp ứng điều kiện cần thiết cho phân phối xác suất nhị thức:

Số câu hỏi, số lần thử, n = 10

Xác suất, p = 1 / số lựa chọn = 1/4 = 0,25

q = 1 - p = 1 - 0,25 = 0,75

Tính xác suất để sinh viên đó được 5 điểm, x = 5;

Gợi lại:

P (x = x) = nCx * p ^ x * q ^ (n-x)

P (x = 5) = 10C5 * 0,25 ^ 5 * 0,75 ^ 5

P (x = 5) = 252 * 0,25 ^ 5 * 0,75 ^ 5

P (x = 5) = 0,0584

Answer:

y= - 1/2 x-2 ( SEE IMAGE BELOW)

Step-by-step explanation:

FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

Answer:

How do you write

x+2y=4

into slope intercept form?

Answer is:

y=−12x+2

Step-by-step explanation:

Slope intercept form can be represented as

y=mx+b

To get an equation into this form, we should try to get y all alone.

So then from x+2y=4

first, we can subtract x from both sidesand get 2y=−x+4

then, we can divide both sides by 2 to get it in slope intercept form

y=−12x+2

I think is like this. Hope it helps>3

Answer:

The slope is 1/2 because for every y value that it goes down, the x value goes down by 2. The y-intercept is 4 because when x is 0, y is equal to 4.

Answer:

g(2) = -42

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \left \{ {{g(1) = 50} \atop {g(n) = 8 - g(n - 1)}} \right.[/tex]

Step 2: Evaluate

9514 1404 393

Answer:

  B.  horizontal stretch by a factor of 3

Step-by-step explanation:

Replacing x by x/k in a function causes its graph to be stretched horizontally by a factor of k. (This makes sense because it means x needs to be k times as large to give the same argument to the function.)

Here, the value of k is 3, so the function graph is horizontally stretched by a factor of 3.

Step-by-step explanation:

The radius r is 5 in (r = D/2). so the volume V of the beach ball is

[tex]V= \dfrac{4 \pi}{3}r^3 = \dfrac{4 \pi}{3}(5\:\text{in})^3[/tex]

[tex]\:\:\:\:\:= 523.6\:\text{in}^3[/tex]

9514 1404 393

Answer:

  D.  600

Step-by-step explanation:

On a number line, positive numbers increase to the right. 600 to the right would be considered to be +600, choice D.

Answer:

Step-by-step explanation:

In the simplest way, the domain of a function is basically all of the possible values of the input variable or x-axis in a graph. While the range of a function would be all of the real possible outputs that the function can create. In a graph this would be all of the possible values for the y-axis. For example, in the following function...

y = 4x + 3

The domain of this function would be any and all values for x, while the range of the function would be any and all values that the function can output for y.

Answer:

You need to ask yourself what times 20  gives you 600.  Then ask yourself what times 20 gives you 160.  Then that will give you your answer.

Step-by-step explanation:

Answer:

Explained below

Step-by-step explanation:

A) A skewed distribution in a dataset is when the median is not equal to the mean in such a manner that the bell curve is tilted to the left or right.

B) If in a data set, if there are outliers which are extremely large or extremely small in comparison to other values in that same dataset, then we can say that such a curve will be pulled towards the outlier and thus the distribution is skewed.

Also, if the curve is inclined to the left, it means there are few extreme values to the left and it is negatively skewed.

Similarly, if the curve is inclined to the right, it means there are few extreme values to the right and is positively skewed.

C) Example of a research question is;

If in a developed country where the poverty level is about 0%, if we collect the data of income of the households, we will discover majority of people with average income and very few people with extreme high levels of income. This condition means the data is positively skewed.

Answer:

[tex]x = \frac{1}{2}[/tex]

Step-by-step explanation:

Given

[tex]y = -x^2 + x + 3[/tex]

Required

The line of symmetry

This is calculated using:

[tex]x= -\frac{b}{2a}[/tex]

Where:

[tex]y = ax^2 + bx + c[/tex]

So, by comparison:

[tex]a = -1[/tex]      [tex]b = 1[/tex]    [tex]c = 3[/tex]

So, we have:

[tex]x = -\frac{1}{2 * -1}[/tex]

[tex]x = -\frac{1}{-2}[/tex]

[tex]x = \frac{1}{2}[/tex]

1/2 is correct, the formula to use is x= - b/2a :)

Answer: on the outside its 2y^3z^4 with the inside being 2

Step-by-step explanation:

The expression equals 2y^3z^4sqrt2

Answer:

2 square root 2 y^3 z^4 ( SEE IMAGE BELOW)

Step-by-step explanation:

Simplify the radical expression

2 square root 2 y^3 z^4

reduce the index of the radicel and expondent with 2

2 square root 2 y^3 z^4

Answer:

3sqaure root 100/5

Step-by-step explanation:

It would look like this picture Below

Answer:

5

Step-by-step explanation:

(3 + 4i) + (2 - 3i) = 3 + 4i + 2 - 3i = 5 + i

distance between (5 + i) and (9 - 2i) is the difference between them. and difference means subtraction.

(9 - 2i) - (5 + i) = 9 - 2i - 5 - i = 4 - 3i

and since we are looking for a distance, we are looking for the absolute value of that subtraction.

after all, we could have done the subtraction also in the other direction

(5 + i) - (9 - 2i) = -4 + 3i

and this must be the same distance.

|(-4 + 3i)| = |(4 - 3i)|

and that is done by calculating the distance of any of these 2 points from (0,0) on the coordinate grid of complex numbers.

|(a +bi)| = sqrt(a² + b²)

in our case here

distance = sqrt(4² + (-3)²) = sqrt(16 + 9) = sqrt(25) = 5

as you can easily see, this is (as expected) the same for the result of the subtraction in the other direction :

sqrt((-4)² + 3²) = sqrt(16+9) = sqrt(25) = 5

Answer:

174.9

Step-by-step explanation:

since 1 kg is 2.2 lbs

79.5 times 2.2

they weight 174.9 lbs

Answer:

174.9 pounds

Step-by-step explanation:

Create a proportion where x is his weight in pounds:

[tex]\frac{1}{2.2}[/tex] = [tex]\frac{79.5}{x}[/tex]

Cross multiply:

x = 79.5(2.2)

x = 174.9

So, his weight in pounds is 174.9 pounds

Answer:

Option (4)

Step-by-step explanation:

From the graph attached,

We have to find the interval in which the function is less than zero or negative.

Value of the function are along the y-axis and negative value of the function means negative side of the y-axis.

In the graph, function is below the x-axis in the interval x > 4 and x = 6 only.

Therefore, in the interval (4, 6] function f(x) < 0.

Option (4) is the correct option.

Answer:

-99

Step-by-step explanation:

Log(x-1)²=2

Log(x-1)²=Log(100)

(x-1)²=100

x-1=10 and x-1=-10

x₁=11     and x₂=-9

x₁ × x₂ = 11 × (-9) = -99

Answer:

Step-by-step explanation:

Answer: first one is x≥-8 second one is x<6

Step-by-step explanation: for the first one you divide both sides by 7 and the second won do the same except divide by 9 on each side

Hello,

7x ≥ -56

⇔ 7x / 7 ≥ -56 / 7

⇔ x ≥ -8

S = [-8 ; +∞[

9x < 54

⇔ 9x / 9 < 54 / 9

⇔ x < 6

S = ]-∞ ; 6]

:-)

Answer:

y = 8/5x

Step-by-step explanation:

I'm assuming that they're asking for the equation in point-slope form.

The formula is y=mx+b where:

m = slope

b = y intercept

However, the y intercept is just (0,0) so b = 0

To find the slope we already have 2 given points: (0,0) and (5,8)

To find slope you do rise/run and you get 8/5

Substitute the slope & y intercept in the formula:

y = 8/5x

Let me know if I'm wrong!!

Answer:

y=8/5x

Step-by-step explanation:

Hi there!

We need to find the equation of the line that passes through (5,8) and the origin (the point (0,0)).

There are 3 ways to write the equation of the line, although the most common way is slope-intercept form, or y=mx+b where m is the slope and b is the y intercept

first, let's find m (slope)

The formula for the slope calculated from two points is [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex], where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) are points

we have two points, but let's label their values to avoid any confusion

[tex]x_{1}[/tex]=5

[tex]y_{1}[/tex]=8

[tex]x_{2}[/tex]=0

[tex]y_{2}[/tex]=0

now substitute into the formula

m=[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m=[tex]\frac{0-8}{0-5}[/tex]

multiply

m=[tex]\frac{-8}{-5}[/tex]

divide

m=8/5

The slope of the line is 8/5

here's the equation so far

y=8/5x+b

now we need to find b

as the point will pass through both (5,8) and (0,0) we can use either one of them to solve for b

let's take (0,0) as an example

substitute 0 as x and 0 as y

0=8/5(0)+b

multiply

0=0+b

add

0=b

substitute 0 as b into the equation

Therefore the equation of the line is:

y=8/5x (the 0 is not necessary)

Hope this helps! :)

Notice how points T and Z are vertically aligned, or vertically lined up. This is where the graph fails the vertical line test.

The input x = 2 leads to the outputs y = 3 and y = 5 (which are the y coordinates of points Z and T in that order).

A function is only possible when any given input leads to exactly one output only. It would be like saying "the conversion function from Celsius to Fahrenheit has 0 degrees C convert to both 32 degrees F and 50 degrees F at the same time". But such a statement makes no sense and it's not useful. So this is one example of why having one output makes sense for a function.

In short, we need one output for any given input. But the input x = 2 leads to more than one output. That's why we don't have a function.

Answer:

6 hours to 1 book

Step-by-step explanation:

Which is a unit rate?

4 dollars to 3 cans

5 students to 2 teachers

6 hours to 1 book

3 miles to 2 days

A unit rate is a rate of a number to 1. The second number must be 1. The only unit rate is 6 hours to 1 book.

Answer: 6 hours to 1 book

The original table (attached to this response) shows single values as classes.

To construct a new frequency distribution for this data with 4 classes, follow these steps:

i. Starting from the least value (which is 10) create groups each of 4 values. For example, the first group will contain 10, 11, 12 and 13. Therefore, we have a class of 10 - 13.

The second group will contain 14, 15, 16 and 17. Therefore, we have a class of 14 - 17

The third group will contain 18, 19, 20 and 21. Therefore, we have a class of 18 - 21

ii. Get the frequency of these classes, we add the frequencies of the members of the class.

For example,

Class 10 - 13 will have a frequency of (1 + 3 + 7 + 18) = 29

Class 14 - 17 will have a frequency of (10 + 4 + 2 + 7) = 23

Class 18 - 21 will have a frequency of (16 + 10 + 6 + 2) = 34

The new table has been attached to this response.

Answer:

[tex]P(Y=0) = 0.1353[/tex]

Step-by-step explanation:

From the question we are told that:

Exponential distribution mean [tex]\=x = 5 miles[/tex]

Distance [tex]d=10miles[/tex]

Generally the equation for Exponential distribution is mathematically given by

 [tex]\lambda=\frac{1}{E(X)}[/tex]

 [tex]\lambda=\frac{1}{5}[/tex]

Therefore

Possion Y

 [tex]10\lambda=10*(1/5)[/tex]

 [tex]10\lambda=2[/tex]

Generally the equation for  The probability that there are no major cracks in a 10 mile stretch of the highway is mathematically given by

 [tex]P(Y=0) = \frac{e-2 (2)0}{0!}[/tex]

 [tex]P(Y=0) = e-2[/tex]

 [tex]P(Y=0) = 0.1353[/tex]

Answer:

[tex]=0[/tex]

Step-by-step explanation:

Given:

[tex]4x-3(2x-y)[/tex]

Let's substitute for y

[tex]4x-3(2x-4)=0[/tex]

Let's distribute the parenthesis

[tex]4x-6x+12=0[/tex]

Combine like terms

[tex]-2x+12=0[/tex]

Subtract 12 from both sides

[tex]-2x=-12[/tex]

divide both sides by -2

[tex]x=6[/tex]

Now let's insert 6 for the [tex]x[/tex] and 4 for the [tex]y\\[/tex]

[tex]24-3(12-4)=[/tex]

[tex]24-3(8)=[/tex]

[tex]24-24=0[/tex]

Hope this helps

Answer: The x = -1

Step-by-step explanation:    I just looked it up on line.

Given:

A line passes through the points (-3,7) and (9,-5).

To find:

The equation of the line in the form of [tex]y=mx+b[/tex].

Solution:

If a line passes through two points, then the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

A line passes through the points (-3,7) and (9,-5). So, the equation of the given line is:

[tex]y-7=\dfrac{-5-7}{9-(-3)}(x-(-3))[/tex]

[tex]y-7=\dfrac{-5-7}{9+3}(x+3)[/tex]

[tex]y-7=\dfrac{-12}{12}(x+3)[/tex]

[tex]y-7=-1(x+3)[/tex]

On further simplification, we get

[tex]y-7=-x-3[/tex]

[tex]y-7+7=-x-3+7[/tex]

[tex]y=-x+4[/tex]

Therefore, the equation of the required line is [tex]y=-x+4[/tex].

Answer:

123 cookies

Step-by-step explanation:

He got 9*13 cookies, and had 6 already, so 9*13 + 6

9*13 = 117, plus 6 is 123

Answer:

B

Step-by-step explanation:

Use a graphing calculator like desmos and youll find the answer

Answer:

The missing angle is 120

Step-by-step explanation:

Given

See attachment

Required

The missing angle (?)

Let the missing angle be x

So:

[tex]x + 60 = 180[/tex] --- angle on a straight line

Collect like terms

[tex]x = 180-60[/tex]

[tex]x = 120[/tex]